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Finding the Fourth Proportional to 9,082.10, 13,615.05 and 5,380.40

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Solution

The fourth proportional to 9,082.10, 13,615.05 and 5,380.40 is: 8,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.10 : 13,615.05 = 5,380.40 : x
  2. Step 2: Convert to fraction form
    9,082.10/13,615.05 = 5,380.40/x
  3. Step 3: Cross multiply
    9,082.10x = 13,615.05 × 5,380.40
  4. Step 4: Simplify right side
    9,082.10x = 73,254,415.02
  5. Step 5: Solve for x
    x = 73,254,415.02/9,082.10
  6. Step 6: Final answer
    x = 8,065.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.